Not quiet - a device can only find out it's own IP address using RARP -
really from the pre-NVRAM days of diskless workstations, printers and maybe
cams or other sensor type devices that only had ROM (and Volatile RAM).

From www.whatis.com
RARP (Reverse Address Resolution Protocol) is a protocol by which a
physical machine in a local area network can request to learn its IP address
from a gateway server's Address Resolution Protocol (ARP) table or cache. A
network administrator creates a table in a local area network's gateway
router that maps the physical machine (or Media Access Control - MAC
address) addresses to corresponding Internet Protocol addresses. When a new
machine is set up, its RARP client program requests from the RARP server on
the router to be sent its IP address. Assuming that an entry has been set up
in the router table, the RARP server will return the IP address to the
machine which can store it for future use.
RARP is available for Ethernet, Fiber Distributed-Data Interface, and Token
Ring LANs.